26708430672 has 600 divisors, whose sum is σ = 100574812800. Its totient is φ = 6690055680.

The previous prime is 26708430659. The next prime is 26708430677. The reversal of 26708430672 is 27603480762.

26708430672 is a `hidden beast` number, since 267 + 0 + 84 + 306 + 7 + 2 = 666.

It is a super-2 number, since 2×26708430672² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26708430677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31833229 + ... + 31834067.

It is an arithmetic number, because the mean of its divisors is an integer number (167624688).

Almost surely, 2^26708430672 is an apocalyptic number.

26708430672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26708430672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50287406400).

26708430672 is an abundant number, since it is smaller than the sum of its proper divisors (73866382128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26708430672 is a wasteful number, since it uses less digits than its factorization.

26708430672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 26708430672 in words is "twenty-six billion, seven hundred eight million, four hundred thirty thousand, six hundred seventy-two".